effective calculability造句
例句与造句
- Next, it was necessary to identify and prove the equivalence of two notions of effective calculability.
- This quest required that the notion of " algorithm " or " effective calculability " be pinned down, at least well enough for the quest to begin.
- The proposal to identify these notions with the intuitive notion of effective calculability is first made in the present paper ( but see the first footnote to ? below ).
- Since, as an informal notion, the concept of effective calculability does not have a formal definition, the thesis, although it has near-universal acceptance, cannot be formally proven.
- The problem was that an answer first required a precise definition of " " definite general applicable prescription " ", which Princeton professor Alonzo Church would come to call " effective calculability ", and in 1928 no such definition existed.
- It's difficult to find effective calculability in a sentence. 用effective calculability造句挺难的
- Thus, by 1939, both Church ( 1934 ) and Turing ( 1939 ) had individually proposed that their " formal systems " should be " definitions " of " effective calculability "; neither framed their statements as " theses ".
- Some time prior to Church's paper " An Unsolvable Problem of Elementary Number Theory " ( 1936 ) a dialog occurred between G鰀el and Church as to whether or not ?-definability was sufficient for the definition of the notion of " algorithm " and " effective calculability ".
- "Effective calculability " : In an effort to solve the Entscheidungsproblem defined precisely by Hilbert in 1928, mathematicians first set about to define what was meant by an " effective method " or " effective calculation " or " effective calculability " ( i . e ., a calculation that would succeed ).
- "Effective calculability " : In an effort to solve the Entscheidungsproblem defined precisely by Hilbert in 1928, mathematicians first set about to define what was meant by an " effective method " or " effective calculation " or " effective calculability " ( i . e ., a calculation that would succeed ).
- Church's proof that the Entscheidungsproblem was unsolvable, Emil Post's definition of effective calculability as a worker mindlessly following a list of instructions to move left or right through a sequence of rooms and while there either mark or erase a paper or observe the paper and make a yes-no decision about the next instruction.
- The fact, however, that two such widely different and ( in the opinion of the author ) equally natural definitions of effective calculability turn out to be equivalent adds to the strength of the reasons adduced below for believing that they constitute as general a characterization of this notion as is consistent with the usual intuitive understanding of it ."
- Subsequent formalizations were framed as attempts to define " effective calculability " or " effective method "; those formalizations included the recursive functions of 1930, 1934 and 1935, Alonzo Church's lambda calculus of 1936, Emil Post's " Formulation 1 " of 1936, and Alan Turing's Turing machines of 1936 7 and 1939 . Giving a formal definition of algorithms, corresponding to the intuitive notion, remains a challenging problem.
- Subsequent formalizations were framed as attempts to define " effective calculability " ( Kleene 1943 : 274 ) or " effective method " ( Rosser 1939 : 225 ); those formalizations included the G鰀el-Herbrand-Kleene recursive functions of 1930, 1934 and 1935, Alonzo Church's lambda calculus of 1936, Emil Post's " Formulation I " of 1936, and Alan Turing's Turing machines of 1936-7 and 1939.
- Was the notion of " effective calculability " to be ( i ) an " axiom or axioms " in an axiomatic system, or ( ii ) merely a " definition " that " identified " two or more propositions, or ( iii ) an " empirical hypothesis " to be verified by observation of natural events, or ( iv ) or just " a proposal " for the sake of argument ( i . e . a " thesis " ).